Abstract
In this work we analyze constrained superfields in supersymmetry and supergravity. We propose a constraint that, in combination with the constrained goldstino multiplet, consistently removes any selected component from a generic superfield. We also describe its origin, providing the operators whose equations of motion lead to the decoupling of such components. We illustrate our proposal by means of various examples and show how known constraints can be reproduced by our method.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
D.V. Volkov and V.P. Akulov, Is the neutrino a Goldstone particle?, Phys. Lett. B 46 (1973) 109 [INSPIRE].
E.A. Ivanov and A.A. Kapustnikov, General relationship between linear and nonlinear realizations of supersymmetry, J. Phys. A 11 (1978) 2375 [INSPIRE].
M. Roček, Linearizing the Volkov-Akulov model, Phys. Rev. Lett. 41 (1978) 451 [INSPIRE].
R. Casalbuoni, S. De Curtis, D. Dominici, F. Feruglio and R. Gatto, Nonlinear realization of supersymmetry algebra from supersymmetric constraint, Phys. Lett. B 220 (1989) 569 [INSPIRE].
Z. Komargodski and N. Seiberg, From linear SUSY to constrained superfields, JHEP 09 (2009) 066 [arXiv:0907.2441] [INSPIRE].
I. Antoniadis, E. Dudas, D.M. Ghilencea and P. Tziveloglou, Non-linear MSSM, Nucl. Phys. B 841 (2010) 157 [arXiv:1006.1662] [INSPIRE].
F. Farakos and A. Kehagias, Non-linear single Higgs MSSM, Phys. Lett. B 719 (2013) 95 [arXiv:1210.4941] [INSPIRE].
I. Antoniadis, E. Dudas, S. Ferrara and A. Sagnotti, The Volkov-Akulov-Starobinsky supergravity, Phys. Lett. B 733 (2014) 32 [arXiv:1403.3269] [INSPIRE].
W. Buchmüller, E. Dudas, L. Heurtier and C. Wieck, Large-field inflation and supersymmetry breaking, JHEP 09 (2014) 053 [arXiv:1407.0253] [INSPIRE].
S. Ferrara, R. Kallosh and A. Linde, Cosmology with nilpotent superfields, JHEP 10 (2014) 143 [arXiv:1408.4096] [INSPIRE].
R. Kallosh and A. Linde, Inflation and uplifting with nilpotent superfields, JCAP 01 (2015) 025 [arXiv:1408.5950] [INSPIRE].
R. Kallosh, A. Linde and M. Scalisi, Inflation, de Sitter landscape and super-Higgs effect, JHEP 03 (2015) 111 [arXiv:1411.5671] [INSPIRE].
A. Linde, Single-field α-attractors, JCAP 05 (2015) 003 [arXiv:1504.00663] [INSPIRE].
J.J.M. Carrasco, R. Kallosh, A. Linde and D. Roest, Hyperbolic geometry of cosmological attractors, Phys. Rev. D 92 (2015) 041301 [arXiv:1504.05557] [INSPIRE].
Y. Kahn, D.A. Roberts and J. Thaler, The Goldstone and goldstino of supersymmetric inflation, JHEP 10 (2015) 001 [arXiv:1504.05958] [INSPIRE].
M. Scalisi, Cosmological α-attractors and de Sitter landscape, JHEP 12 (2015) 134 [arXiv:1506.01368] [INSPIRE].
J.J.M. Carrasco, R. Kallosh and A. Linde, α-attractors: Planck, LHC and dark energy, JHEP 10 (2015) 147 [arXiv:1506.01708] [INSPIRE].
G. Dall’Agata and F. Zwirner, On sgoldstino-less supergravity models of inflation, JHEP 12 (2014) 172 [arXiv:1411.2605] [INSPIRE].
E. Dudas, S. Ferrara, A. Kehagias and A. Sagnotti, Properties of nilpotent supergravity, JHEP 09 (2015) 217 [arXiv:1507.07842] [INSPIRE].
I. Antoniadis and C. Markou, The coupling of non-linear supersymmetry to supergravity, Eur. Phys. J. C 75 (2015) 582 [arXiv:1508.06767] [INSPIRE].
F. Hasegawa and Y. Yamada, De Sitter vacuum from R 2 supergravity, Phys. Rev. D 92 (2015) 105027 [arXiv:1509.04987] [INSPIRE].
S. Ferrara, R. Kallosh and J. Thaler, Cosmology with orthogonal nilpotent superfields, Phys. Rev. D 93 (2016) 043516 [arXiv:1512.00545] [INSPIRE].
J.J.M. Carrasco, R. Kallosh and A. Linde, Minimal supergravity inflation, Phys. Rev. D 93 (2016) 061301 [arXiv:1512.00546] [INSPIRE].
R. Kallosh, A. Linde and T. Wrase, Coupling the inflationary sector to matter, JHEP 04 (2016) 027 [arXiv:1602.07818] [INSPIRE].
A. Sagnotti and S. Ferrara, Supersymmetry and inflation, PoS(PLANCK 2015)113 [arXiv:1509.01500] [INSPIRE].
U. Lindström and M. Roček, Constrained local superfields, Phys. Rev. D 19 (1979) 2300 [INSPIRE].
F. Farakos and A. Kehagias, Decoupling limits of sgoldstino modes in global and local supersymmetry, Phys. Lett. B 724 (2013) 322 [arXiv:1302.0866] [INSPIRE].
E.A. Bergshoeff, D.Z. Freedman, R. Kallosh and A. Van Proeyen, Pure de Sitter supergravity, Phys. Rev. D 92 (2015) 085040 [Erratum ibid. D 93 (2016) 069901] [arXiv:1507.08264] [INSPIRE].
F. Hasegawa and Y. Yamada, Component action of nilpotent multiplet coupled to matter in 4 dimensional N = 1 supergravity, JHEP 10 (2015) 106 [arXiv:1507.08619] [INSPIRE].
R. Kallosh and T. Wrase, De Sitter supergravity model building, Phys. Rev. D 92 (2015) 105010 [arXiv:1509.02137] [INSPIRE].
R. Kallosh, Matter-coupled de Sitter supergravity, arXiv:1509.02136 [INSPIRE].
G. Dall’Agata, S. Ferrara and F. Zwirner, Minimal scalar-less matter-coupled supergravity, Phys. Lett. B 752 (2016) 263 [arXiv:1509.06345] [INSPIRE].
G. Dall’Agata and F. Farakos, Constrained superfields in supergravity, JHEP 02 (2016) 101 [arXiv:1512.02158] [INSPIRE].
S. Ferrara, R. Kallosh, A. Van Proeyen and T. Wrase, Linear versus non-linear supersymmetry, in general, JHEP 04 (2016) 065 [arXiv:1603.02653] [INSPIRE].
R. Kallosh, A. Karlsson, B. Mosk and D. Murli, Orthogonal nilpotent superfields from linear models, arXiv:1603.02661 [INSPIRE].
E. Dudas, G. von Gersdorff, D.M. Ghilencea, S. Lavignac and J. Parmentier, On non-universal goldstino couplings to matter, Nucl. Phys. B 855 (2012) 570 [arXiv:1106.5792] [INSPIRE].
I. Antoniadis, E. Dudas and D.M. Ghilencea, Goldstino and sgoldstino in microscopic models and the constrained superfields formalism, Nucl. Phys. B 857 (2012) 65 [arXiv:1110.5939] [INSPIRE].
D.M. Ghilencea, Comments on the nilpotent constraint of the goldstino superfield, Mod. Phys. Lett. A 31 (2016) 1630011 [arXiv:1512.07484] [INSPIRE].
S. Sugimoto, Anomaly cancellations in type-I \( D9-\overline{D}9 \) system and the USp(32) string theory, Prog. Theor. Phys. 102 (1999) 685 [hep-th/9905159] [INSPIRE].
I. Antoniadis, E. Dudas and A. Sagnotti, Brane supersymmetry breaking, Phys. Lett. B 464 (1999) 38 [hep-th/9908023] [INSPIRE].
C. Angelantonj, Comments on open string orbifolds with a nonvanishing B ab , Nucl. Phys. B 566 (2000) 126 [hep-th/9908064] [INSPIRE].
G. Aldazabal and A.M. Uranga, Tachyon free nonsupersymmetric type IIB orientifolds via brane-anti-brane systems, JHEP 10 (1999) 024 [hep-th/9908072] [INSPIRE].
C. Angelantonj, I. Antoniadis, G. D’Appollonio, E. Dudas and A. Sagnotti, Type I vacua with brane supersymmetry breaking, Nucl. Phys. B 572 (2000) 36 [hep-th/9911081] [INSPIRE].
E. Dudas and J. Mourad, Consistent gravitino couplings in nonsupersymmetric strings, Phys. Lett. B 514 (2001) 173 [hep-th/0012071] [INSPIRE].
G. Pradisi and F. Riccioni, Geometric couplings and brane supersymmetry breaking, Nucl. Phys. B 615 (2001) 33 [hep-th/0107090] [INSPIRE].
R. Kallosh, F. Quevedo and A.M. Uranga, String theory realizations of the nilpotent goldstino, JHEP 12 (2015) 039 [arXiv:1507.07556] [INSPIRE].
I. Bandos, L. Martucci, D. Sorokin and M. Tonin, Brane induced supersymmetry breaking and de Sitter supergravity, JHEP 02 (2016) 080 [arXiv:1511.03024] [INSPIRE].
L. Aparicio, F. Quevedo and R. Valandro, Moduli stabilisation with nilpotent goldstino: vacuum structure and SUSY breaking, JHEP 03 (2016) 036 [arXiv:1511.08105] [INSPIRE].
I. García-Etxebarria, F. Quevedo and R. Valandro, Global string embeddings for the nilpotent goldstino, JHEP 02 (2016) 148 [arXiv:1512.06926] [INSPIRE].
S.M. Kuzenko and S.J. Tyler, Relating the Komargodski-Seiberg and Akulov-Volkov actions: exact nonlinear field redefinition, Phys. Lett. B 698 (2011) 319 [arXiv:1009.3298] [INSPIRE].
E. Dudas, L. Heurtier, C. Wieck and M.W. Winkler, UV corrections in sgoldstino-less inflation, arXiv:1601.03397 [INSPIRE].
A. Brignole, F. Feruglio and F. Zwirner, On the effective interactions of a light gravitino with matter fermions, JHEP 11 (1997) 001 [hep-th/9709111] [INSPIRE].
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1603.03416
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Dall’Agata, G., Dudas, E. & Farakos, F. On the origin of constrained superfields. J. High Energ. Phys. 2016, 41 (2016). https://doi.org/10.1007/JHEP05(2016)041
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP05(2016)041